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Finding the Fourth Proportional to 75,678.50, 113,447.18 and 25,724.46

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Solution

The fourth proportional to 75,678.50, 113,447.18 and 25,724.46 is: 38,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678.50 : 113,447.18 = 25,724.46 : x
  2. Step 2: Convert to fraction form
    75,678.50/113,447.18 = 25,724.46/x
  3. Step 3: Cross multiply
    75,678.50x = 113,447.18 × 25,724.46
  4. Step 4: Simplify right side
    75,678.50x = 2,918,367,444.02
  5. Step 5: Solve for x
    x = 2,918,367,444.02/75,678.50
  6. Step 6: Final answer
    x = 38,562.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.